采用面积坐标和基于假设转角的薄板元

详细信息

TWO THIN PLATE ELEMENTS DEVELOPED BY ASSUMING ROTATIONS AND USING QUADRILATERAL AREA COORDINATES

Department of Civil Engineering, Tsinghua University, Beijing 100084, China;2. School of Aerospace, Tsinghua University, Beijing 100084, China;3. Failure Mechanics Laboratory, Tsinghua University, Beijing 100084, China

摘要: 采用四边形面积坐标方法,从假设转角位移场入手构造了两个广义协调四边形4结点薄板单元AΨQ-I和AΨQ-II.通过采用边界协调条件一次项与二次项分别协调使转角场实现了三次完备.与DKQ等同类单元相比,单元的精度和抗网格畸变能力都有很大提高.
- 有限元 /
- 假设转角 /
- 面积坐标 /
- 广义协调元 /
- 薄板
Abstract: Two 4-node, quadrilateral generalized conforming thin plate elements, AΨQ-I and AΨQ-II, were successfully developed by directly assuming rotation field and using quadrilateral area coordinate method. By requiring low order and high order terms of the assumed rotation fields to be compatible with the corresponding terms of the boundary rotations, the element rotation fields achieve third order completeness. Comparing with the famous element DKQ constructed by the similar technique but using isoparametric coordinates, the two new elements are insensitive to mesh distortion and able to offer more accurate results.
- finite element /
- assuming rotational field /
- area coordinates /
- generalized conforming element /
- thin plate